We show that $L^2$ energy estimates combined with Cauchy integral formula for
holomorphic functions can provide bounds for higher-order derivatives of smooth solutions of Navier-Stokes
equations. We then extend this principle to weak solutions to improve regularization rates
obtained by standard energy methods.
Publié le : 2007-12-15
Classification:
Compressible Navier-Stokes equations,
weak solutions,
time analyticity,
holomorphic functions,
35B35,
35B40,
76N10
@article{1225813981,
author = {Tsyganov, Eugene},
title = {On a method of holomorphic functions to obtain sharp regularization rates of weak solutions of Navier-Stokes equations},
journal = {Methods Appl. Anal.},
volume = {14},
number = {1},
year = {2007},
pages = { 345-354},
language = {en},
url = {http://dml.mathdoc.fr/item/1225813981}
}
Tsyganov, Eugene. On a method of holomorphic functions to obtain sharp regularization rates of weak solutions of Navier-Stokes equations. Methods Appl. Anal., Tome 14 (2007) no. 1, pp. 345-354. http://gdmltest.u-ga.fr/item/1225813981/